用简便方法计算下面各题. 6.2+5.12+3.81200÷25÷413.7-8.9-1.157×101-5778×45+22×45125×32×25.
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解:①6.2+5.12+3.8,
=(6.2+3.8)+5.12,
=10+5.12,
=15.12;
?
②1200÷25÷4,
=1200÷(25×4),
=1200÷100,
=12;
③13.7-8.9-1.1,
=13.7-(8.9+1.1),
=13.7-10,
=3.7;
④57×101-57,
=57×(101-1),
=57×100,
=5700;
⑤78×45+22×45,
=(78+22)×45,
=100×45,
=4500;
⑥125×32×25,
=(125×8)×(4×25),
=1000×100,
=100000.
解析分析:①6.2+5.12+3.8,运用加法交换律和结合律进行简算;
②1200÷25÷4,运用除法的运算性质进行简算;
③13.7-8.9-1.1,运用减法的运算性质进行简算;
④57×101-57,运用乘法分配律进行简算;
⑤78×45+22×45,运用乘法分配律进行简算;
⑥125×32×25,把32拆分为8×4,再运用乘法结合律进行简算.
点评:此题考查的目的是理解掌握减法、除法的运算性质和乘法的运算定律,并且能够灵活运用这些运算性质和运算定律进行简便计算.